FOR ELECTROMAGNETIC THEORY
(C+V)(C-V) MATHEMATICS

Han Erim
January 1, 2016

Updated: January 13,2016

Electromagnetic Theory does not express the electromagnetic interaction between the moving frames accurately. (c+v)(c-v) mathematics widens the Electromagnetic Theorys mathematics taking the interaction between moving frames in. When the v gets the value v=0 in the (c+v)(c-v) mathematics, Electromagnetic Theorys existing mathematics at the moment is obtained, and this is the electromagnetic interaction between the stationary frames. Together with the (c+v)(c-v) mathematics entering to Electromagnetic Theory, important changes will occur in the theory generally.

"On which principle is (c+v)(c-v) mathematics based on?" I can answer such a question shortly like that: (c+v)(c-v) mathematics for the electromagnetic waves is "The Rule Of Sum Of Speeds". An electromagnetic wave takes the arrival targets reference system as base and travels with "c" (light speed constant) with respect to its reference system. The moving direction of reference system which it takes as base and its speed do not change this rule. This behavior style of electromagnetic waves is represented with (c+v)(c-v) mathematics.

"Is there a prove about the existence of (c+v)(c-v) mathematics?" Yes there is. (c+v)(c-v) mathematics shows itself very clearly in the incident of Doppler Shift which is seen in electromagnetic waves.

"What is the physical and theoretical infrastructure causing (c+v)(c-v) mathematics?" This is a very comprehensive question. In my this article without making theoretical explanations, I will introduce you with (c+v)(c-v) mathematics by the way of mathematical equations and will show some important equations about it.

WAVE SPEED = WAVE FREQUENCY X WAVELENGTH

Multiple of a waves wavelength and wave frequency gives the wave speed. Lets see how electromagnetic interaction is telescoped with (c+v)(c-v) mathematics benefiting from this basic equation which is valid also for electromagnetic waves. Figure 1: Lets assume that we are using a signal transmitter. Transmitters signal frequency is f0, wavelength is  λ (*). The plane going away from us receives the signal over f1 frequency and λ1 wavelength, and the plane coming towards us receives the signal over f2 frequency and λ2 wavelength because of Doppler Shift.

(*) Now please pay attention;

With respect to the observer on the plane going away, the wavelength of the signal coming towards himself is λ1. But we are on the side of signal transmitter and our transmitters frequency is f0. When the frequency value of signal transmitter and signal wavelength received in the plane is multiplied the speed of the signal going towards the plane is obtained.

 The speed of signal going to the plane going away c1 = f0 . λ1          c1 > c

In similar way, the equation occurs in this way for the plane coming towards the signal source.

 The speed of the signal going to the plane coming closer c2 = f0 . λ2          c2 < c

So, we can express two equations above like that below:

 Signal Speed = Frequency of the Transmitter x Wavelength in the Receiver   This equation is the basic equation of electromagnetic interaction.   ------------------------------------ All the mistakes and deficiencies in the Electromagnetic Theory is caused from this equation to be unknown. The existing theory has been constructed on the assumption of a signals speed is constant (=c) with respect to all frames which is a marvelous mistake. The cause of falling into such a big mistake is not measuring a signals speed going to a moving frame ever up to today.

I have stated where the mistake in the Electromagnetic Theory comes from. After this moment I will go on taking the equation above as basic.

(c+v)(c-v) Mathematics for the Electromagnetic Theory

If we talk for the figure 1 above, there are the equations below for the signal speeds going from the transmitter to the planes. The value "+v" in the equations is the velocity of the plane going away and the value "-v" is the velocity of the plane coming closer. (the explanation needed is on the table below.)

 c1 = f0 . λ1 = c+vc2 = f0 . λ2 = c-v

(c+v)(c-v) Mathematics is "The Rule of Sum of Speeds" for Electromagnetic Waves.

Lets take the topic into consideration with respect to the frames of the observers on the plane and investigate the signal speeds coming to themselves.
The speed of the signal coming towards himself with respect to the observer on the plane going away is like that because the signal and the plane are moving on the same direction:
signal speed = the speed of the signal coming towards the plane  the speed of the plane
c = (c+v)-v

The speed of the signal coming towards himself with respect to the observer on the plane coming closer is like that because the signal and the plane are moving towards each other:
signal speed = the speed of the signal coming towards the plane + the speed of the plane
c = (c-v)+v

We see that, whatever the direction of the plane is, for an observer on the plane the speed of the signal coming himself is "c". The two equations above giving the constant "c" is "The Rule of Sum of Speeds" for electromagnetic waves.

Lets find the frequency of the signal coming to themselves for the observers on the plane:
We benefit from the wave speed equation.
The signal frequency for the plane going away:  f1 = c / λ1
The signal frequency for the plane coming closer: f2 = c / λ2
As seen, we have verified a known situation for the (c+v)(c-v) mathematics.

At this stage, we can write a rule for the electromagnetic interaction.

 Whether a frame is in a moving situation or not, with respect to its own reference system, a signals speed coming to itself is always "c".

The table below is showing the things told here in summary by using sample values.

 Formula Value Unit Speed of moving frames v 700 m/sn Signal frequency of the transmitter f0 3180000000 Hertz Speed of light C 299792458 m/sn Wavelengths for the receivers Wavelength of the signal for an stationary frame λ0 = c/f0 0,09427436 m Wavelength of the signal for an outgoing frame: λ1 = λ0.(c+v)/c 0,09427458 m Wavelength of the signal for an incoming frame: λ2 = λ0.(c-v)/c 0,09427414 m Relative to the transmitter 1) Signal is going toward an outgoing frame: Target frame speed +v 700 m/sn Signal speed c1 = c+v 299793158 m/sn Signal Speed = Frequency of the Transmitter x Wavelength in the Receiver c1 = f0 . λ1 299793158 m/sn 2) Signal is going toward an incoming frame: Target frame speed -v -700 m/sn Signal speed c2 = c-v 299791758 m/sn Signal Speed = Frequency of the Transmitter x Wavelength in the Receiver c2 = f0 . λ2 299791758 m/sn Relative to the outgoing frame Signal speed which is coming itself c = c1 + v 299792458 m/sn Frequency of the signal f1 = c/λ1 3179992575 Hertz Relative to the incoming frame Signal speed which is coming itself c = c2 - v 299792458 m/sn Frequency of the signal f2 = c/λ2 3180007425 Hertz DOPPLER SHIFT

A signals speed which is on the way towards a moving target, to be different than value "c", causes a deformation on the wavelength of the signal at the moment signal sent. We call this deformation which shows itself as elongation or shortening of wavelength as Doppler Shift. The ratio of signals transmission speed (c'=c±v) to the speed of light gives the amount of deformation. The change in the wavelength occurs in the amount of this ratio. The equation which constitutes start to our topic gives this information.

 Signal Speed = Frequency of the Transmitter x Wavelength at the Receiver

How easily the equations giving the change in the wavelength are obtained with (c+v)(c-v) mathematics is shown on the figure below. ALICE EQUATIONS

(c+v) (c-v) mathematics brings together a few important equations too with itself. The first of these, is an equation which states wavelength change by using the distances in the electromagnetic interaction between two frames which are moving with respect to each other.  d0 = The distance between the frames at the moment of signals transmission
d1 = The distance between the frames at the moment of signals arrival
λ0 = Normal wavelength of the transmitter (λ0=c/f0)
λ1 = Emitted wavelength from transmitter for a moving target frame (λ1=(c±v)/f0)

The value "v" in the (c+v) (c-v) mathematics is the divergence or convergence speed of frames relative to each other, at the same time, it shows the amount of deviation from the speed of light. In our previous examples the speed of frames as the value "v" were used directly because the movements occurred in only X axis. The equation below shows how "v" value is calculated in the electromagnetic interaction between two frames moving in any direction.  How these equations were obtained was detailed below. Signal transmitter is at point "O". The receiver is moving with the speed "u" in "AB" direction. When the signal receiver is at the point "A", transmitter sends a signal.  At the moment the receiver arrives to the point "B" the signal arrives to the point "B" too. On the figures "SB=b" length with the "b=v.Δt" equation connected with "v" value, calculations were made based on this. If the point "B" stays outside of the ring whichs center is "O" and "OA=r" is the radius value, "v" takes "+" value, if it is inside it takes "-" value. THEORETICAL RESULTS OF (c+v)(c-v) MATHEMATICS.

In the case of (c+v)(c-v) mathematics proved experimentally, a big turn over in physics theory is inevitable. Firstly an enormous absence in Electromagnetic Theorys mathematics will be removed which is a big achievement. There will not be requirement to Relativity Theory. So, a very big simplification occurs in physics.

When the results of (c+v)(c-v) mathematics is investigated, it is interesting that notions like time dilation, length deformation, simultaneity which take part in Relativity Theory, come in front of us here, too. But naturally these notions are based on a different mathematical basic, so they have a different meaning in (c+v)(c-v) mathematics. Up to today I have published many studies under the name of Alice Law investigating (c+v)(c-v) mathematics and its results. You can find this publications in the website www.aliceinphysics.com. In fact I understood very late that I was working on Electromagnetic Theory in place of Alice Law.

As we see here, electromagnetic waves interesting behavior style taking the (c+v)(c-v) mathematics basic will bring many questions together with. We will see that many questions difficult and cannot be answered yet will come in front of us. The first of these questions will certainly be "How can a electromagnetic wave can know its arrive target, how can it take its reference system as basic?". I think that the right answers will be obtained after long and demanding studies.

(c+v)(c-v) mathematics with its situation at this moment contains only uniform linear movements. Interactions between the moving frames with accelerated motion, circular motion or other types complex movements are absent. Together with eliminating this absence, Electromagnetic Theory will be transferred to an advanced point.

ELECTROMAGNETIC WAVES SPEED GOING TO A MOVING FRAME HAS NOT BEEN MEASURED YET.

Dear Scientists,

Electromagnetic Theory mathematics is (c+v)(c-v) mathematics. The single thing that this mathematics needs is the measurement of a signals speed going towards a moving frame. As this measurement is done the things told here will take its places in science.

The BYTE SHIFT incident I have written before is a good way to verify (c+v)(c-v) mathematics. A different method can be chosen too of course.

I ask you to increase your volume and give support for an experiment to be done immediately that will find out (c+v)(c-v) mathematics.